English

On normal subgroups of division rings which are radical over a proper division subring

Rings and Algebras 2013-12-12 v2

Abstract

We introduce Kurosh elements in division rings based on the idea of a conjecture of Kurosh. Using this, we generalize a result of Faith in [3] and of Herstein in [6].

Keywords

Cite

@article{arxiv.1212.4532,
  title  = {On normal subgroups of division rings which are radical over a proper division subring},
  author = {Mai Hoang Bien and Duong Hoang Dung},
  journal= {arXiv preprint arXiv:1212.4532},
  year   = {2013}
}

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9 pages